| Summary: | Recently, using interval-valued fuzzy soft sets to rank alternatives has become an important
research area in decision-making because it provides decision-makers with the best option in a vague
and uncertain environment. The present study aims to give an extensive insight into decision-making
processes relying on a preference relationship of interval-valued fuzzy soft sets. Firstly, intervalvalued fuzzy soft preorderings and an interval-valued fuzzy soft equivalence are established based
on the interval-valued fuzzy soft topology. Then, two crisp preordering sets, namely lower crisp and
upper crisp preordering sets, are proposed. Next, a score function depending on comparison matrices
is expressed in solving multi-group decision-making problems. Finally, a numerical example is given
to illustrate the validity and efficacy of the proposed method.
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